加权cscK指标(I)：先验估计

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-07-23 DOI:10.1016/j.jfa.2025.111148

Eleonora Di Nezza, Simon Jubert, Abdellah Lahdili

引用次数: 0

摘要

设X是一个紧致Kähler流形。本文研究了x上常数加权标量曲率Kähler（加权cscK）度量的存在性，更准确地说，我们建立了与这些度量相关的Kähler势的先验ck估计（k≥0），从而推广了经典cscK设置中Chen和Cheng的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Weighted cscK metrics (I): A priori estimates

Let X be a compact Kähler manifold. In this paper we study the existence of constant weighted scalar curvature Kähler (weighted cscK) metrics on X. More precisely, we establish a priori

C^{k}

-estimates (

k \geq 0

) for the Kähler potential associated with these metrics, thereby extending a result due to Chen and Cheng in the classical cscK setting.

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis